Operator means in JB-algebras

24 Dec 2020 · Shuzhou Wang, Zhenhua Wang ·

In this paper, the notion of operator means in the setting of JB-algebras is introduced and their properties are studied. Many identities and inequalities are established, most of them have origins from operators on Hilbert space but they have different forms and connotations, and their proofs require techniques in JB-algebras.